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Finding the Fourth Proportional to 116,563.28, 174,834.36 and 46,423.76

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Solution

The fourth proportional to 116,563.28, 174,834.36 and 46,423.76 is: 69,631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,563.28 : 174,834.36 = 46,423.76 : x
  2. Step 2: Convert to fraction form
    116,563.28/174,834.36 = 46,423.76/x
  3. Step 3: Cross multiply
    116,563.28x = 174,834.36 × 46,423.76
  4. Step 4: Simplify right side
    116,563.28x = 8,116,468,368.39
  5. Step 5: Solve for x
    x = 8,116,468,368.39/116,563.28
  6. Step 6: Final answer
    x = 69,631.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.